Atkin-Lehner |
2- 5- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119990q |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
2895844059550 = 2 · 52 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3 5- 0 0 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4257,-67661] |
[a1,a2,a3,a4,a6] |
Generators |
[-176223876084:1030561602193:4843965888] |
Generators of the group modulo torsion |
j |
10456641/3550 |
j-invariant |
L |
22.126321971816 |
L(r)(E,1)/r! |
Ω |
0.60731325041638 |
Real period |
R |
18.21656448023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990e1 |
Quadratic twists by: 13 |